An Illustrated Guide to Theoretical Ecology

Ted J. Case

An Illustrated Guide to Theoretical Ecology

Ted J. Case

Description

An Illustrated Guide to Theoretical Ecology uses a combination of visual presentations and the symbolic logic of algebra and calculus to provide the most accessible introduction to ecological theory available. It gives students the basic tools they need to understand the complexities of ecological systems and to analyze simple quantitative ecological problems. The author walks students through the most common models in ecology, beginning with first principles and then gently making each formulation accessible through a step-by-step development of equations paired with lavish illustrations. He also applies theoretical developments to practical issues in conservation and resource management, offering a more visceral understanding of the purpose and utility of the theory and demonstrating how it may need modification in its application to real-world problems and future directions. The text also includes some basic ecological genetics and an exploration of metapopulation dynamics. An Illustrated Guide to Theoretical Ecology is enhanced by over 500 two-color diagrams, many end-of-chapter problems, and a website that includes simulation models that parallel each chapters development (http://www.nceas.ucsb.edu/BookCase). Ideal as a main text for advanced undergraduate courses in theoretical and mathematical ecology or conservation biology, this unique book can also serve as a supplement or a self-guided tutorial in general ecology, population ecology, and community ecology courses.

An Illustrated Guide to Theoretical Ecology

Ted J. Case

Table of Contents

1c Preface PART I: Population Ecology 1. Exponential and Geometric Population Growth2. Spatial, Temporal, and Individual Variation in Birth and Death Rates3. Population Growth with Age or Stage Structure4. Demographic Relationships5. Density-Dependent Population Growth6. Population Regulation, Limiting Factors, and Temporal Variability7. Life History Trade-Offs8. Reproductive Value and the Evolutionary Theory of Aging9. Density-Dependent Selection on Life History TraitsPART II: Species Interactions and Community Ecology 10. Exploited Resources11. The Mechanics of Predation12. Predator-Prey Systems: Predator Dynamics and Effects on Prey13. Stability of Predator-Prey Systems: Analytical Methods (Advanced)14. Competitors15. Multi-species Communities16. Space, Islands, and MetapopulationsPART III: Appendices Appendix 1: PREPARATION, PART 1: Visualizing Equations PREPARATION, PART 2: Terms and Methods of Model Building in Population BiologyAppendix 2: Some Matrix OperationsAppendix 3: Solving for Equilibrium Points in Dynamical Systems, the Inverse of a Square Matrix, and Some Useful Facts from Linear AlgebraAppendix 4: Some Useful Mathematical Identities and ApproximationsAppendix 5: CalculusAppendix 6: Functions of Random VariablesLiterature CitedIndex